What is the Least Common Multiple of 4734 and 4746?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 4734 and 4746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4734 and 4746, than apply into the LCM equation.

GCF(4734,4746) = 6
LCM(4734,4746) = ( 4734 × 4746) / 6
LCM(4734,4746) = 22467564 / 6
LCM(4734,4746) = 3744594

Least Common Multiple (LCM) of 4734 and 4746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4734 and 4746. First we will calculate the prime factors of 4734 and 4746.

Prime Factorization of 4734

Prime Factorization of 4746

Now multiplying the highest exponent prime factors to calculate the LCM of 4734 and 4746.

LCM(4734,4746) = 2¹ × 3² × 263¹ × 7¹ × 113¹
LCM(4734,4746) = 3744594